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The half-life of strontium-90 is 25 years. How much strontium-90 will remain 100 years if the initial amount is 4.0 g

Respuesta :

Ok so because the half life is 25 years, the mass will "decrease" by half every 25 years.
So after 25 years it becomes 2 grams,
At 50 yrs it becomes one gram
At 75 years it will be half a gram
At 100 years it will be a quarter of a gram or 0.25 grams.

I.e. the final mass is 0.25 grams
ajeigbeibraheem

There will be 0.25 grams of strontium-90 remaining after 100 years.

The half-life is the time required for a radioactive substance to become disintegrated to half of its original amount.

It can be expressed by using the formula:

[tex]\mathbf{N(t) = N_o (\dfrac{1}{2})^{\dfrac{t}{t_{1/2}}}}[/tex]

where;

  • N(t) = the amount of the remaining radioactive substance
  • [tex]\mathbf{N_o}[/tex] = initial quantity of the radioactive substance
  • t = the elapsed time
  • [tex]\mathbf{t_{1/2}}[/tex] = the half-life of the radioactive substance

Replacing the value from the parameter given;

[tex]\mathbf{N(t) = 4 (\dfrac{1}{2})^{\dfrac{100}{25}}}[/tex]

[tex]\mathbf{N(t) = 4 \times 0.0625}[/tex]

N(t) = 0.25 grams

Learn more about half-life here:

https://brainly.com/question/2320811

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